| Título: | Partially ordered secretaries |
| Autores: |
Freij, Ragnar; Chalmers University of Technology and University of Gothenburg Wästlund, Johan; Chalmers University of Technology and University of Gothenburg |
| Fecha: | 2010-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
secretary problem; best choice problem; partial order. 60c05; 68w20; 68w27; 06A07; 90B50 |
| Descripción: | The elements of a finite nonempty partially ordered set are exposed at independent uniform times in $[0,1]$ to a selector who, at any given time, can see the structure of the induced partial order on the exposed elements. The selector's task is to choose online a maximal element. This generalizes the classical linear order secretary problem, for which it is known that the selector can succeed with probability $1/e$ and that this is best possible. We describe a strategy for the general problem that achieves success probability at least $1/e$ for an arbitrary partial order. |
| Idioma: | No aplica |
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